00:01
Hello, in this video we will be solving the question that we have on the screen, where this function, t equals 25 plus 73e with the power negative to 0 .2x8 times t, is the temperature in degrees celsius of a coffee at time 10 minutes after it's removed from the microwave.
00:18
Now, we need to find out the values for when t is equal to 0, equal to 10, equal to 20, and after a very, very long time.
00:31
So let's do this part by part.
00:33
So let's focus on part a first of all.
00:35
Our final temperature is going to be 25 plus 73, e with power negative 0 .28 multiplied by 0.
00:49
Now that's going to give us 25 plus e power 0 .73.
01:00
Now anything power 0 is equal to 1.
01:04
So we have 25 plus 73.
01:11
And our final value is going to be 98 degrees celsius for part a.
01:18
Let's look at part b now.
01:19
For part b, our value of t is 10.
01:21
So we have again, t equals 25 plus 73, e negative 0 .28, multiplied by 10.
01:33
Now, to fold this part, let's just plug in the values into our calculator directly to find out our analysis.
01:38
We have 25 plus 73, multiplied by e power negative 0 .28.
01:44
To 8 multiplied by 10.
01:46
Now that's going to give us a value of t as being numerically equivalent to 29 .44 degrees celsius.
01:56
Now i'm rounding this off to two decimal places.
01:58
The actual, this is not the exact answer.
02:00
The exact answer contains a lot more decimal places.
02:04
But this is part b...